Data were collected from libraries about the number of patrons who have overdue books and how long they have been using the library. Years Using Library 1 1 1.5 3 3.5 5 7 10 Number of Overdue Books 12 9 10 6 5 4 2 2 The equation ŷ = 12(0.81)x is a model that fits the data. Which of the following uses the model correctly and is an example of extrapolation?    A patron who has been using the library for 2 years is predicted to have between 7 and 8 overdue books.  A patron who has been using the library for 13 years is predicted to have between 6 and 7 overdue books.  A patron who has been using the library for 2 years is predicted to have more than 94 overdue books.  A patron who has been using the library for 13 years is predicted to have less than 1 overdue book.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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Data were collected from libraries about the number of patrons who have overdue books and how long they have been using the library.

Years Using Library 1 1 1.5 3 3.5 5 7 10
Number of Overdue Books 12 9 10 6 5 4 2 2


The equation ŷ = 12(0.81)x is a model that fits the data. Which of the following uses the model correctly and is an example of extrapolation?

 

 A patron who has been using the library for 2 years is predicted to have between 7 and 8 overdue books. 

A patron who has been using the library for 13 years is predicted to have between 6 and 7 overdue books. 

A patron who has been using the library for 2 years is predicted to have more than 94 overdue books. 

A patron who has been using the library for 13 years is predicted to have less than 1 overdue book.

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